Use Huffman method to obtain the optimum code for the following dataABCDEF0.150.40.050.20.050.15

Sure, here is a step-by-step guide on how to use the Huffman method to obtain the optimum code for the given data:

1. First, list the data and their corresponding frequencies:

   A: 0.15 B: 0.40 C: 0.05 D: 0.20 E: 0.05 F: 0.15

2. Sort the list in ascending order based on the frequencies:

   C: 0.05 E: 0.05 A: 0.15 F: 0.15 D: 0.20 B: 0.40

3. Start by combining the two symbols with the smallest frequencies. This will create a new "node" which will become the parent of these two symbols. The frequency of this new node will be the sum of the frequencies of the two symbols:

   (C,E): 0.10 A: 0.15 F: 0.15 D: 0.20 B: 0.40

4. Repeat step 3, always combining the two nodes/symbols with the smallest frequencies. If there is a tie, you can choose either pair:

   (A,F): 0.30 (C,E): 0.10 D: 0.20 B: 0.40

   ((C,E),D): 0.30 (A,F): 0.30 B: 0.40

   (((C,E),D),(A,F)): 0.60 B: 0.40

   ((((C,E),D),(A,F)),B): 1.00

5. Now that we have built the Huffman tree, we can assign binary codes to each symbol. Start from the root of the tree and go down to the leaves, assigning a '0' to the left branch and a '1' to the right branch at each node:

   C: 000 E: 001 D: 01 A: 10 F: 11 B: 1

This is the optimum Huffman code for the given data.